Apakah punca kuadrat sebanyak 27 ditambah dengan punca kuasa 75?

Jawapan:

#sqrt (27) + sqrt (75) = 8sqrt (3) #

Penjelasan:

Jika #a, b> = 0 # kemudian #sqrt (ab) = sqrt (a) sqrt (b) #

#sqrt (27) + sqrt (75) #

# = sqrt (3 ^ 2 * 3) + sqrt (5 ^ 2 * 3) #

# = sqrt (3 ^ 2) sqrt (3) + sqrt (5 ^ 2) sqrt (3) #

# = 3sqrt (3) + 5sqrt (3) #

# = (3 + 5) sqrt (3) #

# = 8sqrt (3) #